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Cheryl compared Three-sevenths, Four-fourths, One-ninth, and Five-eighths? Which statements are correct? Check all that apply.

User Rosauro
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1 Answer

25 votes
25 votes

Answer:

One-ninth < Three-sevenths < Five-eighths < Four-fourths

Four-fourths < Five-eighths < Three-sevenths < One-ninth

Explanation:

Using the given inputs:

3/7 4/4 1/9 5/8

The least common denominator (LCD) is: 504.

Rewriting as equivalent fractions with the LCD:

3/7 4/4 1/9 5/8

216/504 504/504 56/504 315/504

Sorting this table by the numerators of the equivalent fractions in order from least to greatest:

1/9 3/7 5/8 4/4

56/504 < 216/504 < 315/504 < 504/504

Therefore, the sorted inputs in order from least to greatest is:

1/9 < 3/7 < 5/8 < 4/4

-------------------------------------------------------------------------------------------------------------

Using the given inputs:

3/7 4/4 1/9 5/8

The least common denominator (LCD) is: 504.

Rewriting as equivalent fractions with the LCD:

3/7 4/4 1/9 5/8

216/504 504/504 56/504 315/504

Sorting this table by the numerators of the equivalent fractions in order from greatest to least:

4/4 5/8 3/7 1/9

504/504 > 315/504 > 216/504 > 56/504

Therefore, the sorted inputs in order from greatest to least is:

4/4 > 5/8 > 3/7 > 1/9

[RevyBreeze]

User Rakslice
by
3.2k points
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